Réitigh -a=sqrt{2a^2-3ab}

$$- a = \sqrt { 2 a ^ { 2 } - 3 a b }$$

Réitigh do b.

$$\left\{\begin{matrix}b=\frac{a}{3}\text{, }&a\leq 0\\b\in \mathrm{R}\text{, }&a=0\end{matrix}\right.$$

Céimeanna chun cothromóidí fréimhe a réiteach

Athraigh na taobhanna ionas go mbeidh na téarmaí inathraitheacha ar fad ar an taobh clé.

$$\sqrt{2a^{2}-3ab}=-a$$

Cearnaigh an dá thaobh den chothromóid.

$$\left(-3a\right)b+2a^{2}=a^{2}$$

Bain 2a^{2} ón dá thaobh den chothromóid.

$$\left(-3a\right)b+2a^{2}-2a^{2}=a^{2}-2a^{2}$$

Má dhealaítear 2a^{2} uaidh féin faightear 0.

$$\left(-3a\right)b=a^{2}-2a^{2}$$

Dealaigh 2a^{2} ó a^{2}.

$$\left(-3a\right)b=-a^{2}$$

Roinn an dá thaobh faoi -3a.

$$\frac{\left(-3a\right)b}{-3a}=-\frac{a^{2}}{-3a}$$

Má roinntear é faoi -3a cuirtear an iolrúchán faoi -3a ar ceal.

$$b=-\frac{a^{2}}{-3a}$$

Roinn -a^{2} faoi -3a.

$$b=\frac{a}{3}$$

Réitigh do a. (complex solution)

$$\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a=3b\text{, }&arg(b)\geq \pi \text{ or }b=0\end{matrix}\right.$$

Réitigh do b. (complex solution)

$$\left\{\begin{matrix}b=\frac{a}{3}\text{, }&arg(a)\geq \pi \text{ or }a=0\\b\in \mathrm{C}\text{, }&a=0\end{matrix}\right.$$

Réitigh do a.

$$\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a=3b\text{, }&b\leq 0\end{matrix}\right.$$